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Article: Sample size determination for the non-randomised triangular model for sensitive questions in a survey

TitleSample size determination for the non-randomised triangular model for sensitive questions in a survey
Authors
Issue Date2011
PublisherSage Publications Ltd. The Journal's web site is located at http://smm.sagepub.com
Citation
Statistical Methods In Medical Research, 2011, v. 20 n. 3, p. 159-173 How to Cite?
AbstractSample size determination is an essential component in public health survey designs on sensitive topics (e.g. drug abuse, homosexuality, induced abortions and pre or extramarital sex). Recently, non-randomised models have been shown to be an efficient and cost effective design when comparing with randomised response models. However, sample size formulae for such non-randomised designs are not yet available. In this article, we derive sample size formulae for the non-randomised triangular design based on the power analysis approach. We first consider the one-sample problem. Power functions and their corresponding sample size formulae for the one- and two-sided tests based on the large-sample normal approximation are derived. The performance of the sample size formulae is evaluated in terms of (i) the accuracy of the power values based on the estimated sample sizes and (ii) the sample size ratio of the non-randomised triangular design and the design of direct questioning (DDQ). We also numerically compare the sample sizes required for the randomised Warner design with those required for the DDQ and the non-randomised triangular design. Theoretical justification is provided. Furthermore, we extend the one-sample problem to the two-sample problem. An example based on an induced abortion study in Taiwan is presented to illustrate the proposed methods. © The Author(s), 2011.
Persistent Identifierhttp://hdl.handle.net/10722/139713
ISSN
2015 Impact Factor: 4.634
2015 SCImago Journal Rankings: 3.774
ISI Accession Number ID
Funding AgencyGrant Number
Research Grant Council of the Hong Kong Special Administrative RegionHKBU261007
HKBU261508
Funding Information:

The authors would like to thank the Editor and one referee for their comments and suggestions. M. L. Tang thanks Ms. Chow, Daisy Hoi-Sze for her endless encouragement. M. L. Tang's research was fully supported by two grants from the Research Grant Council of the Hong Kong Special Administrative Region (Project Nos. HKBU261007 and HKBU261508).

References

 

DC FieldValueLanguage
dc.contributor.authorTian, GLen_HK
dc.contributor.authorTang, MLen_HK
dc.contributor.authorLiu, Zen_HK
dc.contributor.authorTan, Men_HK
dc.contributor.authorTang, NSen_HK
dc.date.accessioned2011-09-23T05:54:44Z-
dc.date.available2011-09-23T05:54:44Z-
dc.date.issued2011en_HK
dc.identifier.citationStatistical Methods In Medical Research, 2011, v. 20 n. 3, p. 159-173en_HK
dc.identifier.issn0962-2802en_HK
dc.identifier.urihttp://hdl.handle.net/10722/139713-
dc.description.abstractSample size determination is an essential component in public health survey designs on sensitive topics (e.g. drug abuse, homosexuality, induced abortions and pre or extramarital sex). Recently, non-randomised models have been shown to be an efficient and cost effective design when comparing with randomised response models. However, sample size formulae for such non-randomised designs are not yet available. In this article, we derive sample size formulae for the non-randomised triangular design based on the power analysis approach. We first consider the one-sample problem. Power functions and their corresponding sample size formulae for the one- and two-sided tests based on the large-sample normal approximation are derived. The performance of the sample size formulae is evaluated in terms of (i) the accuracy of the power values based on the estimated sample sizes and (ii) the sample size ratio of the non-randomised triangular design and the design of direct questioning (DDQ). We also numerically compare the sample sizes required for the randomised Warner design with those required for the DDQ and the non-randomised triangular design. Theoretical justification is provided. Furthermore, we extend the one-sample problem to the two-sample problem. An example based on an induced abortion study in Taiwan is presented to illustrate the proposed methods. © The Author(s), 2011.en_HK
dc.languageengen_US
dc.publisherSage Publications Ltd. The Journal's web site is located at http://smm.sagepub.comen_HK
dc.relation.ispartofStatistical Methods in Medical Researchen_HK
dc.titleSample size determination for the non-randomised triangular model for sensitive questions in a surveyen_HK
dc.typeArticleen_HK
dc.identifier.emailTian, GL: gltian@hku.hken_HK
dc.identifier.authorityTian, GL=rp00789en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1177/0962280208099444en_HK
dc.identifier.pmid19221169-
dc.identifier.scopuseid_2-s2.0-80051866858en_HK
dc.identifier.hkuros195633en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-80051866858&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume20en_HK
dc.identifier.issue3en_HK
dc.identifier.spage159en_HK
dc.identifier.epage173en_HK
dc.identifier.eissn1477-0334-
dc.identifier.isiWOS:000290962100001-
dc.publisher.placeUnited Kingdomen_HK
dc.identifier.scopusauthoridTian, GL=25621549400en_HK
dc.identifier.scopusauthoridTang, ML=7401974011en_HK
dc.identifier.scopusauthoridLiu, Z=35327344500en_HK
dc.identifier.scopusauthoridTan, M=7401464906en_HK
dc.identifier.scopusauthoridTang, NS=9636066900en_HK

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